A computer performance depends on many components. Let$$s say there are only these $4$ components for this question: CPU, memory system, I$/$O system and the rest of the system.

Let$$s use the variables C$,$ M$,$ IO and R for these $4$ components to represent the performance of these $4$ components. Note performance is the inverse of time

Let$$s assume the average time processes spend in each component is $50\%$ C$,15\%$ for M$,10\%$ for IO$,$ and $25\%$ for R

Construct an equation to represent the performance of the overall system using C$,$M$,$ IO and R$.$ Note a higher number means higher performance

Assuming you can only improve the CPU performance, what is the maximum speedup you can achieve according to Amdahl$$s Law?

An upgrade of each component to improve computer performance is possible. Let$$s say:

it costs $$10$k$,$ $$7$k$,$ $$5$k to make C$,$ M$,$ and IO $50\%$ faster

it costs another $10$k$,7$k$,5$k to make them another $50\%$ faster again.

How much does it cost to make C at least $3$x as fast?

How much does it cost to make M at least $3$X as fast?

How much does it cost to make IO at least $3$X as fast?

If you want to increase the total computer performance by $25\%,$ is it possible if you can only improve:

the CPU and$/$or the memory

What is the least amount of money you can spend if you want to increase the computer performance by $25\%,$ assuming that you can improve one or all the components in the computer?